6 citations · 15 across the 13 of their papers we have counts for
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Notes on Weyl-Clifford algebras
Alexander Yu. Vlasov
Here is discussed generalization of Clifford algebras, l^n-dimensional Weyl-Clifford algebras T(n,l) with n generators t_k satisfying equation $(\sum_{k=1}^n a_k t_k)^l = \sum_{k=1…
Symmetries of complexified space-time and algebraic structures in quantum theory
Alexander Yu. Vlasov
In this paper is discussed description of some algebraic structures in quantum theory by using formal recursive constructions with "complex Poincaré group" ISO(4,C).
Clifford algebras, noncommutative tori and universal quantum computers
Alexander Yu. Vlasov
Recently author suggested [quant-ph/0010071] an application of Clifford algebras for construction of a "compiler" for universal binary quantum computer together with later developm…
Probabilities, Tensors and Qubits
Alexander Yu. Vlasov
In the paper is discussed complete probabilistic description of quantum systems with application to multiqubit quantum computations. In simplest case it is a set of probabilities o…
Universal quantum processors with arbitrary radix n
Alexander Yu. Vlasov
Here is discussed the Hamiltonian approach to construction of deterministic universal (in approximate sense) programmable quantum circuits with qubits or any other quantum systems…
Classical programmability is enough for quantum circuits universality in approximate sense
Alexander Yu. Vlasov
It was shown by M.A. Nielsen and I.L. Chuang 1997, that it is impossible to build strictly universal programmable quantum gate array, that could perform any unitary operation preci…